On the Lebesgue integral and the Lebesgue measure: Mathematical Applications in Some Sectors of Chern-Simons gauge theory and Yang-Mills Theory and Mathematical Some Sectors of connections with String Theory and Number Theory
Abstract
In this paper, in the Section 1 , we have described some equations and theorems concerning the Lebesgue integral and the Lebesgue measure. In the Section 2 , we have described the possible mathematical applications, of Lebesgue integration, in some equations concerning various sectors of Chern-Simons theory and Yang-Mills gauge theory, precisely the two dimensional quantum Yang-Mills theory. In conclusion, in the Section 3 , we have described also the possible mathematical connections with some sectors of String Theory and Number Theory, principally with some equations Concerning the Ramanujan's modular equations That Are related to the physical vibrations of the bosonic strings and of the Superstrings, Some Ramanujan's identities and π Concerning the zeta strings.
As can be seen from the title and dall'Abstract, this is an article that "connects" the Lebesgue integral, some mathematical aspects of the theory of the Chern-Simons and Yang-Mills in turn closely related to strings.
For those interested in the study of the full version in English, you can click on the link below:
http://eprints.bice.rm.cnr.it/3068/1/NarLeb1.pdf
Michele Nardelli
